We study the rotational corrections to multibaryon systems within the bound
state approach to the SU(3) Skyrme model. We use approximate Ansatze for t
he static background fields based on rational maps which have the same symm
etries of the exact solutions. To determine the explicit form of the collec
tive Hamiltonians and wave functions we only make use of these symmetries.
Thus, the expressions obtained are also valid in the exact case. On the oth
er hand, the inertia parameters and hyperfine splitting constants we calcul
ate do depend on the detailed form of the Ansatze and are, therefore, appro
ximate. Using these values we compute the low lying spectra of multibaryons
with B less than or equal to 9 and strangeness 0, -1, and -B. Finally, we
show that the rotational corrections do not affect the stability of the tet
ralambda and heptalambda found in a previous work.